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10100314024 = 2323712233467
BaseRepresentation
bin10010110100000011…
…01000111110101000
3222001220112010002121
421122001220332220
5131141140022044
64350124441024
7505203152443
oct113201507650
928056463077
1010100314024
114313400469
121b5a6a9174
13c4c710b98
146bb5d665a
153e1ac5984
hex25a068fa8

10100314024 has 64 divisors (see below), whose sum is σ = 20135485440. Its totient is φ = 4739824320.

The previous prime is 10100314013. The next prime is 10100314027. The reversal of 10100314024 is 42041300101.

It is a super-2 number, since 2×101003140242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100313989 and 10100314007.

It is not an unprimeable number, because it can be changed into a prime (10100314027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911539 + ... + 2915005.

It is an arithmetic number, because the mean of its divisors is an integer number (314616960).

Almost surely, 210100314024 is an apocalyptic number.

It is an amenable number.

10100314024 is a deficient number, since it is larger than the sum of its proper divisors (10035171416).

10100314024 is a wasteful number, since it uses less digits than its factorization.

10100314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10100314024 its reverse (42041300101), we get a palindrome (52141614125).

The spelling of 10100314024 in words is "ten billion, one hundred million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 23 46 71 92 142 184 223 284 446 568 892 1633 1784 3266 3467 5129 6532 6934 10258 13064 13868 15833 20516 27736 31666 41032 63332 79741 126664 159482 246157 318964 364159 492314 637928 728318 773141 984628 1456636 1546282 1969256 2913272 3092564 5661611 6185128 11323222 17782243 22646444 35564486 45292888 54893011 71128972 109786022 142257944 219572044 439144088 1262539253 2525078506 5050157012 10100314024